Margie's car can go 32 32 miles on a gallon of gas, and gas currently costs 4 4 per gallon. How many miles can Margie drive on $
1 answer:
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Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
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SOLUTION
The total number of females =
if 14 have an A in the class, the number of students without A is:
8 male students do not have an A, therefore the number of female students without an A is:
The probability that a student does not have an A given that the student is female can be calculated thus: